Lesson 3.03p

3.03p Resultant forces Quiz: OCR Maths, Unit 18

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 3.03p, Resultant forces: 20 multiple choice questions for the OCR Maths (H240), Unit 18: Forces and Newton's Laws, written with Revision Ninja.

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The 20 questions

  1. What single force represents the combined effect of multiple forces acting at a point?

    • Vector sum
    • Scalar product
    • Cross product
    • Arithmetic sum

  2. What does the direction of a particle's velocity vector represent?

    • Direction of acceleration
    • Direction of motion
    • Rate of spin
    • Direction of force

  3. What does the direction of a particle's acceleration vector represent?

    • Direction of displacement
    • Direction of resultant force
    • Direction of velocity
    • Direction of motion

  4. What term describes the resolved parts of a force along perpendicular directions?

    • Scalar magnitudes
    • Resultant forces
    • Vector addition
    • Perpendicular components

  5. Which method must be used to find resultant forces in A Level Mechanics?

    • Scale drawing
    • Vector addition
    • Trigonometric estimation
    • Graphical measurement

  6. Forces F1 = 3i + 4j N and F2 = i - 2j N act on a particle. What is their resultant?

    • 2i + 2j N
    • 4i + 2j N
    • 4i + 6j N
    • 2i + 6j N

  7. Forces of 6 N east and 8 N north act at a point. What is the magnitude of their resultant?

    • 14 N
    • 48 N
    • 10 N
    • 2 N

  8. Forces of 6 N east and 8 N north act at a point. What angle does the resultant make with the east direction, to 1 decimal place?

    • 60.0 degrees
    • 53.1 degrees
    • 36.9 degrees
    • 45.0 degrees

  9. A force has components 3 N east and 4 N north. What is the magnitude of the force?

    • 12 N
    • 5 N
    • 7 N
    • 1 N

  10. Two forces of 10 N each act at a point with an angle of 60 degrees between them. What is the magnitude of their resultant, to 2 decimal places?

    • 17.32 N
    • 20.00 N
    • 14.14 N
    • 10.00 N

  11. A force of 15 N acts at 40 degrees above the horizontal. What is its horizontal component, to 1 decimal place?

    • 15.0 N
    • 9.6 N
    • 11.5 N
    • 19.3 N

  12. A particle moves with velocity (3i + 4j) m s^-1. What is its speed?

    • 12 m s^-1
    • 1 m s^-1
    • 5 m s^-1
    • 7 m s^-1

  13. A particle has acceleration (2i + 2j) m s^-2. What is the direction of the resultant force on the particle, measured from the i direction?

    • 90 degrees
    • 30 degrees
    • 45 degrees
    • 60 degrees

  14. A particle of mass 2 kg is acted on by forces (4i + 3j) N and (-i + 2j) N. What is its acceleration?

    • (1.5i + 2.5j) m s^-2
    • (3i + 5j) m s^-2
    • (5i + 5j) m s^-2
    • (2.5i + 1.5j) m s^-2

  15. Three forces of 10 N act at a point: one east, one north and one west. What is the resultant?

    • 10 N south
    • 30 N north
    • 10 N north
    • 10 N east

  16. Two forces of 5 N act at a point, one along 0 degrees and one at 120 degrees to it. What is the direction of the resultant measured from the first force, to the nearest degree?

    • 30 degrees
    • 90 degrees
    • 60 degrees
    • 120 degrees

  17. A 3 kg particle is acted on by two perpendicular forces of 9 N and 12 N. What is the magnitude of its acceleration?

    • 3 m s^-2
    • 7 m s^-2
    • 15 m s^-2
    • 5 m s^-2

  18. A particle is acted on by forces of 6 N east, 6 N west and 4 N north. What is the resultant force?

    • 4 N north
    • 4 N south
    • 8 N north
    • 12 N north

  19. Forces (3i + 4j) N and (-3i + 4j) N act on a particle. What is the resultant force?

    • 0 N
    • (6i + 8j) N
    • 6i N
    • 8j N

  20. A resultant force has components 6i N and -8j N. What is its magnitude?

    • 10 N
    • 14 N
    • 100 N
    • 2 N

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